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Finding the Fourth Proportional to 1,343.69, 2,015.82 and 478.00

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Solution

The fourth proportional to 1,343.69, 2,015.82 and 478.00 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.69 : 2,015.82 = 478.00 : x
  2. Step 2: Convert to fraction form
    1,343.69/2,015.82 = 478.00/x
  3. Step 3: Cross multiply
    1,343.69x = 2,015.82 × 478.00
  4. Step 4: Simplify right side
    1,343.69x = 963,564.48
  5. Step 5: Solve for x
    x = 963,564.48/1,343.69
  6. Step 6: Final answer
    x = 717.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.